Geodesic
Best approximations of differentiable functions in the metric of the space~$L_2$
Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 535-542.

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The relation between the best approximations of periodic functions by trigonometric polynomials and the moduli of continuity of their arbitrary derivatives in the metric of the space $L_2$ is studied. 
@article{MZM_1977_22_4_a8,
     author = {L. V. Taikov},
     title = {Best approximations of differentiable functions in the metric of the space~$L_2$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {535--542},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a8/}
}
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L. V. Taikov. Best approximations of differentiable functions in the metric of the space~$L_2$. Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 535-542. http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a8/